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ratelena [41]
3 years ago
6

The right rectangular prism is filled with cubes that have a side length of 1/8

Mathematics
1 answer:
Mice21 [21]3 years ago
3 0
Find the volume of the rectangular prism and divide by the volume of the cube.

Volume of cube = side measure ^ 3
Cube = (1/8)^3 = 1/512

Volume of prism = l x w x h
Prism = (1/4)(1/2)(3/8) = 3/64

3/64 / 1/512
3/64 x 512/1
3 x 512 / 64
1536 / 64
24
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3 0
3 years ago
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77julia77 [94]

Answer: -3x + 4, (2,-2)

Step-by-step explanation:

First, you want to get y alone on one side.

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     -4    -4        subtract 4 to get it on the left side.

     -y     -y       subtract y to get it alone on the right side.

Your'e left with 3x - 4 = -y      divide the whole equation by -1 do get a pos y

You then have y = -3x + 4. That's the first part of your answer.

To get the second part plug in (-3x + 4) into the y of the first equation, this is the substitution part.

-2x + 5(-3x+4) =-14        distribute the 5...     -2x - 15x +20 = -14

add your like terms ( x and x)                       -17x + 20 = -14

Isolate your x by subtracting the 20, both sides  -20   -20

-17x = -34    divide both side by 17 you get x = 2 (---- this is your first coordinate in the pair in your answer. To get the y do the same but solve for y instead of x.

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shtirl [24]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

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